Chebyshev''s inequality, Advanced Statistics

Chebyshev's inequality: A statement about the proportion of the observations which fall within some number of the standard deviations of the mean for any of the probability distribution. One description is that for the random variable, X is given as follows

218_Chebyshev’s inequality.png 

here k is the number of standard deviations, σ, from the mean, µ. For instance, the

inequality states that at least 75% of observations fall within the two standard deviations of the mean. If the variable X can take on only the positive values as follows, basically known as the Markov inequality, holds;
1515_Chebyshev’s inequality1.png




Posted Date: 7/26/2012 6:18:19 AM | Location : United States

Related Discussions:- Chebyshev''s inequality, Assignment Help, Ask Question on Chebyshev''s inequality, Get Answer, Expert's Help, Chebyshev''s inequality Discussions

Write discussion on Chebyshev''s inequality
Your posts are moderated
Related Questions

Last observation carried forward is a technique for replacing the observations of the patients who drop out of the clinical trial carried out over a time period. It consists of su

Maximum likelihood estimation is an estimation procedure involving maximization of the likelihood or the log-likelihood with respect to the parameters. Such type of estimators is

Conjoint analysis : The method used basically in market research which is similar in many respects to the various dimensional scaling. The method attempts to assign values to the l

Cochrane collaboration : An international network of the individuals committed to preparing , maintaining and disseminating the systematic reviews of the effects of the health care

a. Explain the meaning of the word non-orthogonal. b. What condition(s) must exist for non-orthogonality to occur? Be specific.

The values assigned to factors for the individual sample units in a factor analysis. The most common approach is "regression method". When the factors are seen as the random variab

This is an alternative to the Newton-Raphson technique for optimization (finding out the minimum or the maximum) of some function, which includes replacing the matrix of second der

Principal components analysis is a process for analysing multivariate data which transforms original variables into the new ones which are uncorrelated and account for decreasing

How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians